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bulgar [2K]
3 years ago
11

Please help me on my homework! :) Its due tomorrow and I need help on numbers 3-6 thanks ;) (picture attached)

Mathematics
1 answer:
Aleks [24]3 years ago
7 0
3) 0.5(12m-22n)=0.5(12m)-0.5(22n)
=6m-11n
4) 2/3(18x+6z) =2/3(18x)-2/3(6z)
=12x-4z
5)2x+12=2(x+6)
6)12x+24=12(x+2)
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30% of number A is 10 more than 20% of number B. 30% of number B is 35 more than 20% of number A. Find the numbers A and B.
anygoal [31]

Answer:

A = 76.85

B =65.28

Step-by-step explanation:

(30/100)A = 10 + (20/100)B

0.3A - 0.2B = 10 ...... equation (i)

(30/100)B + 35 = (20/100)A

0.2A - 0.3B = 35 ........ equation (ii)

From equation (i)

0.3A = 10 - 0.2B

A = (10 - 0.2b) / 0.3

A = 33.33 - 0.67B ........equation (iii)

Put equation (iii) into equation (ii)

0.2(33.33 - 0.67B) - 0.3B = 35

6.67 - 0.134B - 0.3B = 35

0.434B = 35 - 6.67

B = 28.33 / 0.434

B = 65. 275 = 65.28

Put B = 65.28 into equation (i)

0.3A - 0.2B = 10

0.3A - 0.2(65.28) = 10

0.3A - 13.056 = 10

0.3A = 10 + 13.056

A = 23.056/ 0.3

A = 76.85

5 0
3 years ago
Estimate the volume of the prism 6.8 ft 0.0 ft 0.6 ft
Degger [83]

Answer: If rounded it would be 13 (together not rounded).... If not its would be 12(not rounded)

Step-by-step explanation:     6.8 is about to 7,.... and 0.0 is just 0..... and 0.6 is close to 0.5 all together would be 13 but if we round it would be 12

6 0
3 years ago
7. If the longer leg of a right triangle is twice as long as the shorter leg, what is the ratio of
kicyunya [14]

Answer: The ratio is 2.39, which means that the larger acute angle is 2.39 times the smaller acute angle.

Step-by-step explanation:

I suppose that the "legs" of a triangle rectangle are the cathati.

if L is the length of the shorter leg, 2*L is the length of the longest leg.

Now you can remember the relation:

Tan(a) = (opposite cathetus)/(adjacent cathetus)

Then there is one acute angle calculated as:

Tan(θ)  =  (shorter leg)/(longer leg)

Tan(φ) = (longer leg)/(shorter leg)

And we want to find the ratio between the measure of the larger acute angle and the smaller acute angle.

Then we need to find θ and φ.

Tan(θ) = L/(2*L)

Tan(θ) = 1/2

θ = Atan(1/2) = 26.57°

Tan(φ) = (2*L)/L

Tan(φ) = 2

φ = Atan(2) = 63.43°

Then the ratio between the larger acute angle and the smaller acute angle is:

R = (63.43°)/(26.57°) = 2.39

This means that the larger acute angle is 2.39 times the smaller acute angle.

5 0
3 years ago
Kristen is making lanyards for a convention. She needs to make 1,000 lanyards and knows that 1 lanyards uses 1.75 feet of cord.
quester [9]
Well 1.75ft times 1000 is 1750ft of cable
8 0
3 years ago
Read 2 more answers
Answer this question
Katen [24]

Step-by-step explanation:

It is (A)95° by using External Angle Property of triangles.

BTW whats up with that order C-D-B-A

8 0
3 years ago
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